关于缺项Dirichlet级数所表示的整函数的(p,q)(R)级及(p,q)(R)型  

ON THE(P,Q) ORDER(R) AND(P,Q) TYPE(R) OF ENTIRE FUNCTIONS DEFINED BY GAP DIRICHLET SERIES

作　　者：吴敏[1] 

机构地区：[1]湖北大学数学系

出　　处：《湖北大学学报（自然科学版）》1989年第4期27-34,共8页Journal of Hubei University：Natural Science

摘　　要：本文对Dirichlet级数加上适当的缺项条件,那么由它所表示的整函数在全平面的(p,q)(R)级及(p,q)(R)型与它在任一条水平直线上的(p,q)(R)级及(p,q)(R)型完全相同,把这些结果应用于Tayloy级数,可得到类似的结果.所得结果包括并改善了一些已有结果.In this paper we add certain proper gap conditions to Dirichlet series, then prove that the (p, q) order (R) and (p, q) type (R) of entire functions defined by it on every horizontal straight line is the same as that in the whole plane. In particular, We apply these results to power series and obtain similar results. The above results contain and refineon some known results.

关 键 词：整函数 级 型 缺项级数 

分 类 号：O174.52[理学—数学]